Step 1: Understanding the Concept:
Ruggedness number is a geomorphic parameter.
It is used to describe the terrain.
Step 2: Key Formula or Approach:
Ruggedness number = H \(\times\) D\(_d\).
Where H is relief and D\(_d\) is drainage density.
Step 3: Detailed Explanation:
The ruggedness number is indeed the product of relief and drainage density.
This is the definition.
When both H and D\(_d\) are large (steep and long slopes), the ruggedness number becomes extremely high.
This indicates a highly rugged terrain.
Thus, both statements are correct.
Step 4: Final Answer:
Both Statement I and Statement II are correct.
Hence, the correct option is (A).